Answer:
L = 315 cm2 ; S = 399.9 cm2
Step-by-step explanation:
Lateral area;
3 × (½)(14)(15)
315 cm²
Surface area:
315 + (½)(14)(14)sin(60)
399.8704896 cm²
<h3><u>The length is equal to 13.</u></h3><h3><u>The width is equal to 8.</u></h3>
l = 2w - 3
2l + 2w = 42
Because we have a value for l, we can plug it into the second equation to solve for w.
2(2w - 3) + 2w = 42
Distributive property.
4w - 6 + 2w = 42
Combine like terms.
6w - 6 = 42
Add 6 to both sides.
6w = 48
Divide both sides by 6.
w = 8
Now that we have a value for w, we can solve for the exact value of l.
l = 2(8) - 3
l = 16 - 3
l = 13
The answer is D. 15, 36, 39.
Let the side of the square = a units, the area of the square = a^2 sq units
Area of the 4 semicircles = area of 2 circles = 2 pi r^2 = 2pi (1/2 a)^2
= pi a^2 / 2
Probability of a point in the unshaded square being picked) = area square / area of the total figure = a^2 / (a^2 * pi/2) = 1 / pi/2 = 2 /pi
which is approximately 65%
